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Finding the Third Proportional to 533,445 and 1,158,468

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Solution

The third proportional to 533,445 and 1,158,468 is: 2,515,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,445 : 1,158,468 = 1,158,468 : x
  2. Step 2: Convert to fraction form
    533,445/1,158,468 = 1,158,468/x
  3. Step 3: Cross multiply
    533,445x = 1,158,468 × 1,158,468
  4. Step 4: Simplify right side
    533,445x = 1,342,048,107,024
  5. Step 5: Solve for x
    x = 1,342,048,107,024/533,445
  6. Step 6: Final answer
    x = 2,515,813.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.